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This is a sandbox page for me (Ganaram) to test out a few things before deploying things. (Expect some mess.)
This is a sandbox page for me (Ganaram) to test out a few things before deploying things. (Expect some mess.)


== MOS intro ==
<pre>{{subst:User:Ganaram inukshuk/JI ratios|Int Limit=50|Prime Limit=7|Equave=2/1}}</pre>
First sentence:
* Single-period 2/1-equivalent: '''xL ys''' (TAMNAMS name ''tamnams-name''), also called ''other-name'', is an octave-repeating moment of symmetry scale that divides the octave (2/1) into x large and y small steps.
* Multi-period 2/1-equivalent: '''nxL nys''' (TAMNAMS name ''tamnams-name''), also called ''other-name'', is an octave-repeating moment of symmetry scale that divides the octave (2/1) into nx large steps and ny small steps, with n periods of c cents containing x large and y small steps each.
* Single-period 3/1-equivalent: '''3/1-equivalent xL ys''', also called other-name, is a twelfth-repeating moment of symmetry scale that divides the tritave or perfect 12th (3/1, c cents) into x large and y small steps.
* Multi-period 3/1-equivalent: '''3/1-equivalent nxL nys''', also called ''other-name'', is a twelfth-repeating moment of symmetry scale that divides the tritave or perfect 12th (3/1, nc cents) into nx large steps and ny small steps, with n periods of c cents containing x large and y small steps each.
* Single-period 3/2-equivalent: '''3/2-equivalent xL ys''', also called other-name, is a fifth-repeating moment of symmetry scale that divides the perfect 5th (3/2, c cents) into x large and y small steps.
* Multi-period 3/2-equivalent: '''3/2-equivalent nxL nys''', also called ''other-name'', is a fifth-repeating moment of symmetry scale that divides the perfect 5th (3/2, nc cents) into nx large steps and ny small steps, with n periods of c cents containing x large and y small steps each.
Second sentence:


* Generators that produce this scale range from g1 cents to g2 cents, or from d1 cents to d2 cents.
produces


Octave-equivalent relational info:
1/1, 50/49, 49/48, 36/35, 28/27, 25/24, 21/20, 16/15, 15/14, 27/25, 49/45, 35/32, 10/9, 28/25, 9/8, 8/7, 7/6, 32/27, 25/21, 6/5, 49/40, 5/4, 32/25, 9/7, 35/27, 21/16, 4/3, 27/20, 49/36, 48/35, 25/18, 7/5, 45/32, 10/7, 36/25, 35/24, 40/27, 3/2, 32/21, 49/32, 14/9, 25/16, 8/5, 45/28, 49/30, 5/3, 42/25, 27/16, 12/7, 7/4, 16/9, 25/14, 9/5, 49/27, 50/27, 28/15, 15/8, 40/21, 48/25, 27/14, 35/18, 49/25, 2/1


* Parents of mosses with 6-10 steps: xL ys is the parent scale of both child-soft and child-hard.
== MOS scalesig ==
* Children of mosses with 6-10 steps: xL ys expands parent-scale by adding step-count-difference tones.
{{Infobox|Left Link=Neutral 3rd|Title=Major 3rd|Right Link=Perfect 4th|Data 1='''Interval range information'''|Header 2=Approximate range|Data 2=180{{c}} - 240{{c}}|Header 3=Complement|Data 3=Minor 6th|Data 5='''JI examples'''|Data 6=5/4, 9/7, 81/64|Data 10='''Generated scales'''|Data 11=4L 3s, 4L 7s}}


Rothenprop:
== MOS tuning spectrum (AKA, scale tree) ==


* Single-period: Scales of this form are always proper because there is only one small step.
{{MOS tuning spectrum
* Multi-period: Scales of this form, where every period is the same, are proper because there is only one small step per period.
| Scale Signature = 1L 1s
| Int Limit = 13
}}


== MOS tunings==
{{MOS tuning spectrum
=== 5L 2s only ===
| Scale Signature= 3L 4s
{{MOS tunings|Scale Signature=5L 2s}}
| Int Limit = 20
| 6/5 = [[Mohaha]] / ptolemy↑
| 5/4 = Mohaha / migration / [[mohajira]]
| 11/8 = Mohaha / mohamaq
| 7/5 = Mohaha / [[neutrominant]]
| 10/7 = [[Hemif]] / [[hemififths]]
| 11/7 = [[Suhajira]]
| 13/8 = Golden suhajira (354.8232¢)
| 5/3 = Suhajira / [[ringo]]
| 12/7 = [[Beatles]]
| 13/5 = Unnamed golden tuning (366.2564¢)
| 7/2 = [[Sephiroth]]
| 9/2 = [[Muggles]]
| 5/1 = [[Magic]]
| 6/1 = [[Würschmidt]]↓
}}


{{MOS tunings|Scale Signature=5L 2s|Step Ratios=Soft-of-basic}}
{{MOS tuning spectrum
| Depth = 3
| Scale Signature= 3L 4s<3/2>
}}


{{MOS tunings|Scale Signature=5L 2s|Step Ratios=Hyposoft}}
== MOS intro==
First sentence:
*Single-period 2/1-equivalent: '''xL ys''' (TAMNAMS name ''tamnams-name''), also called ''other-name'', is an octave-repeating moment of symmetry scale that divides the octave (2/1) into x large and y small steps.
*Multi-period 2/1-equivalent: '''nxL nys''' (TAMNAMS name ''tamnams-name''), also called ''other-name'', is an octave-repeating moment of symmetry scale that divides the octave (2/1) into nx large steps and ny small steps, with n periods of c cents containing x large and y small steps each.
*Single-period 3/1-equivalent: '''3/1-equivalent xL ys''', also called other-name, is a twelfth-repeating moment of symmetry scale that divides the tritave or perfect 12th (3/1, c cents) into x large and y small steps.
*Multi-period 3/1-equivalent: '''3/1-equivalent nxL nys''', also called ''other-name'', is a twelfth-repeating moment of symmetry scale that divides the tritave or perfect 12th (3/1, nc cents) into nx large steps and ny small steps, with n periods of c cents containing x large and y small steps each.
*Single-period 3/2-equivalent: '''3/2-equivalent xL ys''', also called other-name, is a fifth-repeating moment of symmetry scale that divides the perfect 5th (3/2, c cents) into x large and y small steps.
*Multi-period 3/2-equivalent: '''3/2-equivalent nxL nys''', also called ''other-name'', is a fifth-repeating moment of symmetry scale that divides the perfect 5th (3/2, nc cents) into nx large steps and ny small steps, with n periods of c cents containing x large and y small steps each.
Second sentence:


{{MOS tunings|Scale Signature=5L 2s|Step Ratios=Hypohard|JI Ratios=1/1; 2/1}}
*Generators that produce this scale range from g1 cents to g2 cents, or from d1 cents to d2 cents.


{{MOS tunings|Scale Signature=5L 2s|Step Ratios=Hard-of-basic}}
Octave-equivalent relational info:


*Parents of mosses with 6-10 steps: xL ys is the parent scale of both child-soft and child-hard.
*Children of mosses with 6-10 steps: xL ys expands parent-scale by adding step-count-difference tones.


=== 6-note mosses ===
Rothenprop:
 
{{MOS tunings|Scale Signature=1L 5s}}
 
{{MOS tunings|Scale Signature=2L 4s}}
 
{{MOS tunings|Scale Signature=3L 3s}}
 
{{MOS tunings|Scale Signature=4L 2s}}
 
{{MOS tunings|Scale Signature=5L 1s}}
 
=== 7-note mosses ===
 
{{MOS tunings|Scale Signature=1L 6s}}
 
{{MOS tunings|Scale Signature=2L 5s}}
 
{{MOS tunings|Scale Signature=3L 4s}}
 
{{MOS tunings|Scale Signature=4L 3s}}
 
{{MOS tunings|Scale Signature=6L 1s}}
 
=== 8-note mosses ===
 
{{MOS tunings|Scale Signature=1L 7s}}
 
{{MOS tunings|Scale Signature=2L 6s}}
 
{{MOS tunings|Scale Signature=3L 5s}}
 
{{MOS tunings|Scale Signature=4L 4s}}
 
{{MOS tunings|Scale Signature=5L 3s}}
 
{{MOS tunings|Scale Signature=6L 2s}}
 
{{MOS tunings|Scale Signature=7L 1s}}
 
=== 9-note mosses ===
 
{{MOS tunings|Scale Signature=1L 8s}}
 
{{MOS tunings|Scale Signature=2L 7s}}
 
{{MOS tunings|Scale Signature=3L 6s}}
 
{{MOS tunings|Scale Signature=4L 5s}}
 
{{MOS tunings|Scale Signature=5L 4s}}
 
{{MOS tunings|Scale Signature=6L 3s}}
 
{{MOS tunings|Scale Signature=7L 2s}}
 
{{MOS tunings|Scale Signature=8L 1s}}


=== 10-note mosses ===
*Single-period: Scales of this form are always proper because there is only one small step.
 
*Multi-period: Scales of this form, where every period is the same, are proper because there is only one small step per period.
{{MOS tunings|Scale Signature=1L 9s}}
 
{{MOS tunings|Scale Signature=2L 8s}}
 
{{MOS tunings|Scale Signature=3L 7s}}
 
{{MOS tunings|Scale Signature=4L 6s}}
 
{{MOS tunings|Scale Signature=5L 5s}}
 
{{MOS tunings|Scale Signature=6L 4s}}
 
{{MOS tunings|Scale Signature=7L 3s}}
 
{{MOS tunings|Scale Signature=8L 2s}}
 
{{MOS tunings|Scale Signature=9L 1s}}
 
=== Misc ===
 
{{MOS tunings|Scale Signature=8L 3s <3/1>|Step Ratios=Central Spectrum}}
{{MOS tunings|Scale Signature=9L 4s <7/2>|Step Ratios=Central Spectrum}}
 
==Mos intervals and mos interval HE==
{{MOS intervals|Scale Signature=5L 2s}}
{{MOS interval HE|Scale Signature=5L 2s}}
 
==Name==
 
===6-note mosses===
{{Template:TAMNAMS name|1L 5s}}
 
{{Template:TAMNAMS name|2L 4s}}
 
{{Template:TAMNAMS name|3L 3s}}
 
{{Template:TAMNAMS name|4L 2s}}
 
{{Template:TAMNAMS name|5L 1s}}
 
===7-note mosses===
{{Template:TAMNAMS name|1L 6s}}
 
{{Template:TAMNAMS name|2L 5s}}
 
{{Template:TAMNAMS name|3L 4s}}
 
{{Template:TAMNAMS name|4L 3s}}
 
{{Template:TAMNAMS name|5L 2s}}
 
{{Template:TAMNAMS name|6L 1s}}
 
=== 8-note mosses===
{{Template:TAMNAMS name|1L 7s}}
 
{{Template:TAMNAMS name|2L 6s}}
 
{{Template:TAMNAMS name|3L 5s}}
 
{{Template:TAMNAMS name|4L 4s}}
 
{{Template:TAMNAMS name|5L 3s}}
 
{{Template:TAMNAMS name|6L 2s}}
 
{{Template:TAMNAMS name|7L 1s}}
 
=== 9-note mosses===
{{Template:TAMNAMS name|1L 8s}}
 
{{Template:TAMNAMS name|2L 7s}}
 
{{Template:TAMNAMS name|3L 6s}}
 
{{Template:TAMNAMS name|4L 5s}}
 
{{Template:TAMNAMS name|5L 4s}}
 
{{Template:TAMNAMS name|6L 3s}}
 
{{Template:TAMNAMS name|7L 2s}}
 
{{Template:TAMNAMS name|8L 1s}}
 
=== 10-note mosses===
{{Template:TAMNAMS name|1L 9s}}
 
{{Template:TAMNAMS name|2L 8s}}
 
{{Template:TAMNAMS name|3L 7s}}
 
{{Template:TAMNAMS name|4L 6s}}
 
{{Template:TAMNAMS name|5L 5s}}
 
{{Template:TAMNAMS name|6L 4s}}
 
{{Template:TAMNAMS name|7L 3s}}
 
{{Template:TAMNAMS name|8L 2s}}
 
{{Template:TAMNAMS name|9L 1s}}
 
== Scale data==
{{MOS scale properties|Scale Signature=5L 5s}}
 
==5L 2s modes and modmos modes==
{{MOS mode degrees|Scale Signature=5L 2s|MODMOS Step Pattern=cscscsscscss}}
{{MOS mode degrees|Scale Signature=5L 2s|MODMOS Step Pattern=LsLLsAs}}
{{MOS mode degrees|Scale Signature=5L 2s|MODMOS Step Pattern=LsLLLLs}}
{{MOS mode degrees|Scale Signature=5L 2s|MODMOS Step Pattern=LLsLsAs}}
{{MOS mode degrees|Scale Signature=5L 2s|MODMOS Step Pattern=AAdAdAd}}
{{MOS mode degrees|Scale Signature=5L 2s|MODMOS Step Pattern=LLLLLLd}}
{{MOS mode degrees|Scale Signature=5L 2s|MODMOS Step Pattern=LALdLAd}}
 
==4L 4s modes and modmos modes==
{{MOS mode degrees|Scale Signature=4L 4s}}
{{MOS mode degrees|Scale Signature=4L 4s|MODMOS Step Pattern=LLssLLss}}
{{MOS mode degrees|Scale Signature=4L 4s|MODMOS Step Pattern=LLssLsLs}}


==Sandbox for proposed templates==
==Sandbox for proposed templates==
Line 262: Line 108:
</div>
</div>


===MOS characteristics===
=== MOS characteristics===
NOTE: not suitable for displaying intervals or scale degrees. Repurpose for other content.<div style="  display: block;
NOTE: not suitable for displaying intervals or scale degrees. Repurpose for other content.<div style="  display: block;
   background-color: #dddddd;
   background-color: #dddddd;
Line 331: Line 177:
</div>
</div>


===MOS intervals (using large/small instead of MmAPd) ===
===MOS intervals (using large/small instead of MmAPd)===
{| class="wikitable"
{| class="wikitable"
|+Intervals of 5L 2s
|+Intervals of 5L 2s
!Interval
!Interval
!Size(s)
!Size(s)
! Steps
!Steps
!Range in cents
!Range in cents
!Abbrev.
!Abbrev.
Line 343: Line 189:
|Perfect 0-diastep
|Perfect 0-diastep
|0
|0
| 0.0¢
|0.0¢
|P0ms
|P0ms
|-
|-
| rowspan="2" |1-diastep
| rowspan="2" |1-diastep
| Small 1-diastep
|Small 1-diastep
|s
|s
|0.0¢ to 171.4¢
|0.0¢ to 171.4¢
| s1ms
|s1ms
|-
|-
| Large 1-diastep
|Large 1-diastep
|L
|L
|171.4¢ to 240.0¢
|171.4¢ to 240.0¢
|L1ms
|L1ms
|-
|-
| rowspan="2" |2-diastep
| rowspan="2" | 2-diastep
|Small 2-diastep
|Small 2-diastep
|L + s
|L + s
Line 364: Line 210:
|-
|-
|Large 2-diastep
|Large 2-diastep
|2L
| 2L
|342.9¢ to 480.0¢
|342.9¢ to 480.0¢
|L2ms
|L2ms
Line 375: Line 221:
|-
|-
|Large 3-diastep
|Large 3-diastep
|3L
| 3L
|514.3¢ to 720.0¢
|514.3¢ to 720.0¢
|L3ms
| L3ms
|-
|-
| rowspan="2" |'''4-diastep'''
| rowspan="2" |'''4-diastep'''
Line 388: Line 234:
|3L + s
|3L + s
|685.7¢ to 720.0¢
|685.7¢ to 720.0¢
| L4ms
|L4ms
|-
|-
| rowspan="2" |5-diastep
| rowspan="2" |5-diastep
| Small 5-diastep
|Small 5-diastep
|3L + 2s
|3L + 2s
|720.0¢ to 857.1¢
|720.0¢ to 857.1¢
Line 399: Line 245:
|4L + s
|4L + s
|857.1¢ to 960.0¢
|857.1¢ to 960.0¢
| L5ms
|L5ms
|-
|-
| rowspan="2" |6-diastep
| rowspan="2" |6-diastep
Line 405: Line 251:
|4L + 2s
|4L + 2s
|960.0¢ to 1028.6¢
|960.0¢ to 1028.6¢
|s6ms
| s6ms
|-
|-
|Large 6-diastep
|Large 6-diastep
|5L + s
|5L + s
|1028.6¢ to 1200.0¢
|1028.6¢ to 1200.0¢
| L6ms
|L6ms
|-
|-
|'''7-diastep (octave)'''
|'''7-diastep (octave)'''
|Perfect 7-diastep
|Perfect 7-diastep
|5L + 2s
|5L + 2s
|1200.0¢
| 1200.0¢
|P7ms
|P7ms
|}
|}


===MOS mode degrees (using large/small instead of MmAPd) ===
===MOS mode degrees (using large/small instead of MmAPd)===
{| class="wikitable sortable"
{| class="wikitable sortable"
|+Scale degree qualities of 5L 2s modes
|+Scale degree qualities of 5L 2s modes
! colspan="2" |Mode names
! colspan="2" |Mode names
! colspan="2" |Ordering
! colspan="2" |Ordering
! rowspan="2" | Step pattern
! rowspan="2" |Step pattern
! colspan="8" |Scale degree
! colspan="8" |Scale degree
|-
|-
!Default
!Default
! Names
!Names
!Bri.
!Bri.
!Rot.
! Rot.
!0
!0
!1
!1
Line 443: Line 289:
|Lydian
|Lydian
|1
|1
| 1
|1
|LLLsLLs
|LLLsLLs
|Perf.
|Perf.
|Lg.
|Lg.
| Lg.
|Lg.
|Lg.
|Lg.
|Lg.
|Lg.
|Lg.
|Lg.
|Lg.
| Lg.
| Perf.
|Perf.
|-
|-
|<nowiki>5L 2s 5|1</nowiki>
|<nowiki>5L 2s 5|1</nowiki>
| Ionian (major)
|Ionian (major)
|2
|2
|5
|5
Line 461: Line 307:
|Perf.
|Perf.
|Lg.
|Lg.
|Lg.
| Lg.
|Sm.
|Sm.
|Lg.
|Lg.
|Lg.
|Lg.
|Lg.
|Lg.
| Perf.
|Perf.
|-
|-
|<nowiki>5L 2s 4|2</nowiki>
|<nowiki>5L 2s 4|2</nowiki>
| Mixolydian
|Mixolydian
| 3
|3
|2
|2
|LLsLLsL
|LLsLLsL
|Perf.
|Perf.
|Lg.
|Lg.
|Lg.
| Lg.
|Sm.
|Sm.
|Lg.
|Lg.
Line 494: Line 340:
|Lg.
|Lg.
|Sm.
|Sm.
|Perf.
| Perf.
|-
|-
|<nowiki>5L 2s 2|4</nowiki>
|<nowiki>5L 2s 2|4</nowiki>
Line 501: Line 347:
|3
|3
|LsLLsLL
|LsLLsLL
| Perf.
|Perf.
|Lg.
|Lg.
|Sm.
| Sm.
|Sm.
|Sm.
|Lg.
|Lg.
Line 517: Line 363:
|Perf.
|Perf.
|Sm.
|Sm.
|Sm.
| Sm.
|Sm.
|Sm.
|Lg.
|Lg.
Line 530: Line 376:
|sLLsLLL
|sLLsLLL
|Perf.
|Perf.
| Sm.
|Sm.
|Sm.
|Sm.
| Sm.
|Sm.
|Sm.
|Sm.
|Sm.
|Sm.
Line 573: Line 419:
│
│
┘</pre>
┘</pre>
| Not enough room for note names.
|Not enough room for note names.
|-
|-
|Large vis
|Large vis
Line 616: Line 462:
{| class="wikitable"
{| class="wikitable"
! rowspan="2" |Type
! rowspan="2" |Type
! rowspan="2" | Visualization
! rowspan="2" |Visualization
! colspan="7" |Individual steps
! colspan="7" |Individual steps
! rowspan="2" | Notes
! rowspan="2" | Notes
Line 623: Line 469:
!Size 1
!Size 1
!Size 2
!Size 2
!Size 3
! Size 3
!Size 4
!Size 4
!Size 5
!Size 5
Line 763: Line 609:


</pre>
</pre>
|X's are placeholders for note names.
| X's are placeholders for note names.
Naturals only, as there is not enough room for accidentals.
Naturals only, as there is not enough room for accidentals.


Line 782: Line 628:
{| class="wikitable sortable"
{| class="wikitable sortable"
|+3L 4s step sizes
|+3L 4s step sizes
! rowspan="2" | Interval
! rowspan="2" |Interval
! colspan="2" |Basic 3L 4s
! colspan="2" | Basic 3L 4s
(10edo, L:s = 2:1)
(10edo, L:s = 2:1)
! colspan="2" |Hard 3L 4s
! colspan="2" |Hard 3L 4s
Line 799: Line 645:
|-
|-
|Large step
|Large step
|2
| 2
| 240¢
| 240¢
|3
|3
|276.9¢
| 276.9¢
|3
|3
|211.8¢
|211.8¢
Line 808: Line 654:
|-
|-
|Small step
|Small step
| 1
|120¢
|1
|1
|120¢
|92.3¢
| 1
| 92.3¢
|2
|2
|141.2¢
|141.2¢
|
|
|-
|-
| Bright generator
|Bright generator
|3
|3
|360¢
|360¢
|4
|4
| 369.2¢
|369.2¢
|5
| 5
|355.6¢
|355.6¢
|
|
Line 830: Line 676:
*JI ratios column only shows if there are any ratios to show
*JI ratios column only shows if there are any ratios to show


===Mos ancestors and descendants ===
===Mos ancestors and descendants===
{| class="wikitable"
{| class="wikitable"
!2nd ancestor
!2nd ancestor
!1st ancestor
!1st ancestor
! Mos
!Mos
!1st descendants
!1st descendants
!2nd descendants
!2nd descendants
|-
|-
| rowspan="4" |uL vs
| rowspan="4" |uL vs
| rowspan="4" | zL ws
| rowspan="4" |zL ws
| rowspan="4" |xL ys
| rowspan="4" |xL ys
| rowspan="2" |xL (x+y)s
| rowspan="2" |xL (x+y)s
Line 852: Line 698:
|}
|}


===Navbox MOS===
<div class="wikitable mw-collapsible" style="overflow:auto">
<div style="width: 100%; background-color:#eaecf0; padding-top:0.2em; padding-bottom:0.2em;"><center><b>[[MOS scale|Moment-of-symmetry scales]]</b></center></div>
<table class="mw-collapsible-content nowraplinks" style="width: 100%; margin:0em">
<tr style="display: table-row">
<td style="width:15%; text-align:right; background-color:#eaecf0;">6- to 10-note mosses</td>
<td style="width:85%; text-align:left;">1L 5s (selenite) {{!}} 2L 4s ( {{!}} 3L 3s {{!}} 4L 2 {{!}} 5L 1s</td>
</tr>
<tr>
<td style="width:15%; text-align:right; background-color:#eaecf0;">Monolarge family</td>
<td>1L 5s (selenite) {{!}} 1L 6s (onyx) {{!}} 1L 7s (spinel) {{!}} 1L 8s (agate) {{!}} 1L 9s (olivine)</td>
</tr>
<tr>
<td style="width:15%; text-align:right; background-color:#eaecf0;">Diatonic mos family</td>
<td style="width:85%; text-align:left; padding:0; margin:0;">
<table class="nowraplinks" style="width:100%; margin:0em">
<tr>
<td style="width:15%; text-align:right; background-color:#eaecf0;">Parent mos</td>
<td style="width:85%; text-align:left;">5L 2s (diatonic)</td>
</tr>
<tr>
<td style="width: 15%; text-align: right; background-color:#eaecf0;">Chromatic scales</td>
<td style="width: 85%; text-align: left;">7L 5s (soft diatonic chromatic) {{!}} 5L 7s (hard diatonic chromatic)</td>
</tr>
<tr>
<td style="width: 15%; text-align: right; background-color:#eaecf0;">Enharmonic scales</td>
<td style="width: 85%; text-align: left;">7L 12s (soft diatonic enharmonic) {{!}} 12L 7s (hyposoft diatonic enharmonic) {{!}} 12L 5s (hypohard diatonic enharmonic) {{!}} 5L 12s (hard diatonic enharmonic)</td>
</tr>


<tr>
== Encoding scheme for module:mos==
<td style="width: 15%; text-align: right; background-color:#eaecf0;">Subchromatic scales</td>
<td style="width: 85%; text-align: left;">7L 19s and 19L 7s {{!}} 19L 12s and 12L 19s {{!}} 12L 17s and 17L 12s {{!}} 17L 5s and 5L 17s</td>
</tr>
</table></td>
</tr>
</table>


</div>
=== Mossteps as a vector of L's and s's===
 
== Encoding scheme for module:mos ==
 
===Mossteps as a vector of L's and s's===
For an arbitrary step sequence consisting of L's and s's, the sum of the quantities of L's and s's denotes what mosstep it is. EG, "LLLsL" is a 5-mosstep since it has 5 L's and s's total. This can be expressed as a vector denoting how many L's and s's there are. EG, "LLLsL" becomes { 4, 1 }, denoting 4 large steps and 1 small step.
For an arbitrary step sequence consisting of L's and s's, the sum of the quantities of L's and s's denotes what mosstep it is. EG, "LLLsL" is a 5-mosstep since it has 5 L's and s's total. This can be expressed as a vector denoting how many L's and s's there are. EG, "LLLsL" becomes { 4, 1 }, denoting 4 large steps and 1 small step.


Line 910: Line 713:
! rowspan="2" |Value
! rowspan="2" |Value
! colspan="2" |Encoded
! colspan="2" |Encoded
! colspan="4" |Decoded
! colspan="4" | Decoded
|-
|-
!Intervals with 2 sizes
!Intervals with 2 sizes
Line 925: Line 728:
|2× Augmented
|2× Augmented
|3× Augmented
|3× Augmented
| 2× Augmented
|2× Augmented
|-
|-
|1
|1
Line 945: Line 748:
| -1
| -1
|'''Small'''
|'''Small'''
| Perfect minus 1 chroma
|Perfect minus 1 chroma
|'''Minor'''
|'''Minor'''
|'''Diminished'''
|'''Diminished'''
Line 965: Line 768:
|3× Diminished
|3× Diminished
|2× Diminished
|2× Diminished
|3× Diminished
| 3× Diminished
|}
|}
Rationale:
Rationale:
Line 979: Line 782:
! rowspan="2" |Interval in mossteps
! rowspan="2" |Interval in mossteps
! colspan="2" |Encoding
! colspan="2" |Encoding
! rowspan="2" | Decoding
! rowspan="2" |Decoding
! rowspan="2" |Standard notation in the key of F
! rowspan="2" |Standard notation in the key of F
|-
|-
!Mossteps
!Mossteps
!Chroma
! Chroma
|-
|-
|0
|0
|0
|0
| 0
| 0
| Perfect 0-diastep
|Perfect 0-diastep
|F
| F
|-
|-
|s
|s
| 1
|1
|  -1
|  -1
|Minor 1-diastep
|Minor 1-diastep
| Gb
|Gb
|-
|-
|L
| L
| 1
|1
| 0
|0
|Major 1-diastep
|Major 1-diastep
|G
|G
Line 1,018: Line 821:
|3
|3
| -1
| -1
|Perfect 3-diastep
| Perfect 3-diastep
|Bb
|Bb
|-
|-
|3L
|3L
|3
| 3
|0
|0
|Augmented 3-diastep
|Augmented 3-diastep
Line 1,034: Line 837:
|-
|-
|3L + s
|3L + s
| 4
|4
|0
|0
|Perfect 4-diastep
|Perfect 4-diastep
|C
|C
|-
|-
|3L + 2s
| 3L + 2s
|5
|5
| -1
| -1
Line 1,060: Line 863:
|6
|6
|0
|0
|Major 6-diastep
| Major 6-diastep
|E
|E
|-
|-
Line 1,085: Line 888:
!4
!4
!5
!5
!6
! 6
!7
!7
|-
|-
Line 1,091: Line 894:
|Lydian
|Lydian
|1
|1
| 1
|1
|LLLsLLs
|LLLsLLs
|0
|0
Line 1,107: Line 910:
|5
|5
|LLsLLLs
|LLsLLLs
| 0
|0
|0
|0
|0
|0
Line 1,125: Line 928:
|1
|1
| -1
| -1
| 0
|0
|0
|0
| -1
| -1
Line 1,168: Line 971:
| -1
| -1
|0
|0
| -1
| -1
| -1
| -1
|0
|0
Line 1,174: Line 977:
|<nowiki>5L 2s 0|6</nowiki>
|<nowiki>5L 2s 0|6</nowiki>
|Locrian
|Locrian
|7
| 7
|4
|4
|sLLsLLL
|sLLsLLL
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